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Harrizon [31]
3 years ago
9

As a pizza deliverer, Sarah is paid $6.25 per hour and $0.32 per mile. If t represents the number of hours Sarah works in a week

and m represents the number of miles driven for deliveries that week, which of the following equations represents P, Sarah’s income for the week (not including tips)?
Mathematics
1 answer:
Alexeev081 [22]3 years ago
4 0
<span>The equation= P = 6.25t + 0.32m </span>
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Find a set of parametric equations for y= 5x + 11, given the parameter t= 2 – x
Sati [7]

Answer:

x = 2-t and y = -5\cdot t +21

Step-by-step explanation:

Given that y = 5\cdot x + 11 and t = 2-x, the parametric equations are obtained by algebraic means:

1) t = 2-x Given

2) y = 5\cdot x +11 Given

3) y = 5\cdot (x\cdot 1)+11 Associative and modulative properties

4) y = 5\cdot \left[(-1)^{-1} \cdot (-1)\right]\cdot x +11 Existence of multiplicative inverse/Commutative property

5) y = [5\cdot (-1)^{-1}]\cdot [(-1)\cdot x]+11 Associative property

6) y = -5\cdot (-x)+11  \frac{a}{-b} = -\frac{a}{b} / (-1)\cdot a = -a

7) y = -5\cdot (-x+0)+11 Modulative property

8) y = -5\cdot [-x + 2 + (-2)]+11 Existence of additive inverse

9) y = -5 \cdot [(2-x)+(-2)]+11 Associative and commutative properties

10) y = (-5)\cdot (2-x) + (-5)\cdot (-2) +11 Distributive property

11) y = (-5)\cdot (2-x) +21 (-a)\cdot (-b) = a\cdot b

12) y = (-5)\cdot t +21 By 1)

13) y = -5\cdot t +21 (-a)\cdot b = -a \cdot b/Result

14) t+x = (2-x)+x Compatibility with addition

15) t +(-t) +x = (2-x)+x +(-t) Compatibility with addition

16) [t+(-t)]+x= 2 + [x+(-x)]+(-t) Associative property

17) 0+x = (2 + 0) +(-t) Associative property

18) x = 2-t Associative and commutative properties/Definition of subtraction/Result

In consequence, the right answer is x = 2-t and y = -5\cdot t +21.

5 0
3 years ago
Find the Slope:
AveGali [126]

Answer:

4) slope= 0

5) slope =  -  \frac{1}{7}

Step-by-step explanation:

\boxed{ slope = \frac{y _{2} - y_1 }{x_2 - x_1} }

4) Slope

=  \frac{10 - 10}{ - 10 - 3}

=  \frac{0}{ - 13}

= 0

The slope is zero as the line is a horizontal line (since both points have the same y-coordinate of 10).

5) Slope

=  \frac{5 - 4}{2 - 9}

=  \frac{1}{ - 7}

=  -  \frac{1}{7}

Since you have taken (x₁, y₁) to be (9, 4), the value of x₁ should be 9 instead of 2.

6 0
2 years ago
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the length of a rectangle is 2 times in width if the perimeter of the rectangle is 36 in find its length and width​
Basile [38]

Answer:

Length=12 inches Width=6 inches

Step-by-step explanation:

X can stand for the width. 2x can stand for the length since it is twice the width. The perimeter would then equal 6x. 6x is equal to 36. Divide by 6 to isolate x. X equals 6 inches. So twice the width would be 12 inches.

8 0
3 years ago
I need help in this . Just ignore that equation in top of the problem
GuDViN [60]
Communtative property
5 0
3 years ago
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Find the lateral area and the total area of the prism.
Tems11 [23]
We have that

1) the lateral area---------------->  L=P*h
P=(3+3+3)   h=6
L=(3+3+3)*6=54 in²

the answer part 1) is the lateral area is 54 in²

2) the total area=------------- > S=P*h+2B
2B=2*[3*3/2]     P*h=54

S=2*[3*3/2]+54=63 in²

the answer part 2) is the total area is 63 in²
8 0
3 years ago
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